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Finding the Fourth Proportional to 518,018,361.12, 714,906,097.44 and 295,009,480.80

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Solution

The fourth proportional to 518,018,361.12, 714,906,097.44 and 295,009,480.80 is: 407,136,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,018,361.12 : 714,906,097.44 = 295,009,480.80 : x
  2. Step 2: Convert to fraction form
    518,018,361.12/714,906,097.44 = 295,009,480.80/x
  3. Step 3: Cross multiply
    518,018,361.12x = 714,906,097.44 × 295,009,480.80
  4. Step 4: Simplify right side
    518,018,361.12x = 210,904,076,626,528,640
  5. Step 5: Solve for x
    x = 210,904,076,626,528,640/518,018,361.12
  6. Step 6: Final answer
    x = 407,136,295.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.